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Finding the Fourth Proportional to 13,136.60, 19,704.90 and 5,341.40

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Solution

The fourth proportional to 13,136.60, 19,704.90 and 5,341.40 is: 8,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.60 : 19,704.90 = 5,341.40 : x
  2. Step 2: Convert to fraction form
    13,136.60/19,704.90 = 5,341.40/x
  3. Step 3: Cross multiply
    13,136.60x = 19,704.90 × 5,341.40
  4. Step 4: Simplify right side
    13,136.60x = 105,251,752.86
  5. Step 5: Solve for x
    x = 105,251,752.86/13,136.60
  6. Step 6: Final answer
    x = 8,012.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.